Question

Vector G is 40.3 m long in a -35 degree direction. Vector H is 63.3 m long in a 270 degree direction. Find the magnitude of their vector sum.

Answer 1

Answer:

The easiest way to tackle this problem is by breaking the vectors up into their components (also it's easier to type this method).

G = 40.3 cos (-35.0°) i + 40.3 sin (-35.0°) j ----where i denotes the x direction and j denotes the y direction

H = 63.3 sin (270°) j ----- I left off the i component because i know cos 270 is 0.

40.3 and 63.3 are the magnitudes of your vector, or the hypotenuse of a triangle. We are finding the horizontal (Adjacent) and vertical (Opposite) legs the respective hypotenuse (we have to remember SOH COH TOA)

Now you can simply add components

G + H = (40.3 cos (-35.0)) i + (40.3 sin (-35.0°)+ 63.3 sin (270)) j ----be sure to pay close attention to signs when doing your calculations on your calculator.

Answer 2

Answer:

answer 30000000000000000000000

Explanation: